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How to solve this math problem regarding composition of functions?

Can you explain how to solve this problem:

Find functions f and g so that the composition of f and g is H.

H(x) = (x - 4)^3 f(x)= g(x)=

2 Answers

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  • 8 years ago
    Favorite Answer

    f(x) = x^3

    g(x) = (x - 4)

    f(g(x)) = (x - 4)^3 = H(x)

    euclid

  • 8 years ago

    Define f(x) = x-4

    Define g(x) = x^3

    Define H(x) = g[f(x)] = g(x-4) = (x-4)^3

    Hope that helps.

    Source(s): Engineering student
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